XAT- Xavier Aptitude Test 2026
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Hello CAT 2023 candidates,
The CAT exam 2023 for MBA admissions 2024–2026 will be held on November 26. In this CAT 2023 60-day preparation guide series of Careers360, we will discuss the strategies on Derangement and Ranking Arrangement Questions for day 38 that can help you prepare well and crack the CAT entrance test 2023.
This article includes Ranking arrangement questions, one-word substitution MCQs, and Logical deduction meaning. Aspirants can go through the article below for further practice questions on Ranking arrangement questions, one-word substitution questions and logical deduction questions. CAT Preparation 2023 in 60 days
CAT Exam Important Topic: Strategy to Prepare “Permutations and Combinations (Ranking and Derangements)” and ranking arrangement questions
Important Concept/Formula Used in Derangement
CAT Exam: Previous Year CAT Questions On Permutations and Combinations (Ranking and Derangements)
Q1. All the rearrangements of the word "DEMAND" are written without including any word that has two D's appearing together. If these are arranged alphabetically, what would be the rank of "DEMAND"? [CAT PYQ]
A. 36 B. 74 C. 42 D. 86
Ranking Arrangement Questions With Answers: (B)
Total words formed from the word DEMAND = 6! /2! = 360
Total words formed from the word DEMAND where 2 D’s appear together = 5! = 120
Total words formed from the word DEMAND where 2D’s do not appear together =
360 – 120 = 240
Words starting with ‘A’, without two D’s adjacent to each = Words starting with A - Words starting with A where 2 D’s are together
⇒ Words starting with ‘A’, without two D’s adjacent to each = 5!/2! - 4! = 36.
Next letter is D (in alphabetical order from the letters of the word DEMAND)
Words starting with DA: 4! words = 24 words
Words starting with DEA = 3! = 6 words
Words starting with DEA = 3! = 6 words
Words starting with DEMA
=> First word is DEMADN
=> Second is DEMAND
Rank of DEMAND = 36 + 24 + 6 + 6 + 2 = 74
Q2. In how many ways can you put 6 letters into their respective envelopes such that exactly 4 go into the right envelope? [CAT Sample Question]
a) 24 b) 102 c)15 d) 530
Ranking Arrangement Questions With Answers: (C)
No of ways in which the 4 correct envelopes can be selected= 6C4 =15
Derangement of the remaining 2 envelopes & letters =
= 2! (1 -1 + ½) = 1
Total No of ways of arrangement = 1 x 15= 15.
Factorial
Fundamental Principle of counting,
Concept of Selection and Arrangement
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For nCr to be greatest,
Number of squares in a square of n × n side = 12 + 22 + 32 + 42 + … n2
Number of rectangles in a square of n × n side = 13 + 23 +33 + 43 + … n3. (This includes the number of squares.)
Practice sample papers and questions based on previous years CAT Questions.
Do not spend much time on this.
CAT 2023 Syllabus Topic: Strategy to prepare “Logical Deduction” for CAT
Important Concepts/ Formulas used in Logical Deduction
Middle term: It is the term common to both the premise and is denoted by ‘M’.
Major premise: The premise in which the middle term is in place of the predicate is called a major premise.
Minor premise: The premise in which the middle term is in the place of the subject is called a minor premise.
Subject vs Predicate: Consider this question statement
In all such statements, the first term is called the subject and the second is called the predicate.
Q1. Statements: No Arc is Circle. Some Arc are Triangles.
Conclusions:
Square are Circles
Some Triangles are Circles.
The only conclusion I follow
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Solution: [D]
Statement I is negative.
Statemnet II is negative.
Therefore Negative conclusion must be there.
But neither conclusion is negative.
Logical Deduction Questions
Q2. The question contains six statements, followed by four options of combinations of any three of the given sentences. Choose the option in which the combinations are logically related. Consider the first two as statements and the third as conclusions:
Statements:
Conclusions:
1. ABD 2. ABF 3. CDE 4. BCF 5. NOT
Solution: (5)
Option | Statement 1 | Statement 2 | Conclusion | Remark |
1 | A (+ve) | B (-ve) | D (-ve) | True |
2 | A (+ve) | B (-ve) | F (+ve) | False |
3 | C (+ve) | D (-ve) | E(+ve) | False |
4 | B (-ve) | C (+ve) | F (+ve) | False |
We must check option (1) only (rest are false); No common term is there A and B, so no conclusion can be drawn.
Hence answer is (5)
CAT entrance exam: Prerequisite
Tips and Tricks for CAT Logical Deduction Questions
There should be three and only three distinct terms between two premises for the conclusion to be obtained.
The middle term should be distributed at least once on the premises for the conclusion to be obtained.
Statement 1 | Statement 2 | Remark |
Positive | Positive | +ve Conclusion |
Positive | Negative | -ve Conclusion |
Negative | Positive | -ve Conclusion |
Negative | Negative | No Conclusion |
Learn the rule of distribution (See References to Study Link)
Practice Sample Papers.
References to CAT Study (Theory) Logical Deduction
References to Practice Logical Deduction questions
CAT Exam Important Topic: Strategy to Prepare “One Word Substitution” and one word substitution questions for competitive exams such as CAT-2023
CAT Tips and Tricks for One Word Substitution Questions:
Divide the One-word substitutions into the categories like
One Word Substitution for Study
Some Examples:
Printing using a stone or a metal plate with a completely smooth surface | Lithography |
Mapping of earth and its formation | Geography |
Words used for people with various qualities, habits, and abilities.
Some Examples:
The doctor who attends to corn in the feet and hands | Chiropodist |
The doctor who deals with the female reproductive system | Gynecologist |
Words for likes and dislikes
Some Examples:
One who loves and admires the British | Anglophile |
One who loves without seriousness | Philanderer |
Words used for practices & beliefs
Some Examples:
One who believes in many Gods | Polytheist |
One who believes that God is the union of all forces of the universe | Pantheist |
Words used for various kinds of killings
Some Examples:
the killing of a whole race | Genocide |
The killing of a newborn child | Infanticide |
There can be more categories like this.
Remember the following factors while choosing a word for a sentence
Learning more about substitution will be helpful.
Practice Sample questions.
CAT Previous Years' Questions on One Word Substitution MCQs
Sample Questions:
Directions: Choose the best substitute from the given options for highlighted phrase
Q.1. We visited the ancient palace yesterday, there we saw old manuscripts written by saints, we tried but it was not clear enough to be read.
Ans: [4]
One word substitution quiz with answers
Q.2. They organized a house party for Sara’s birthday but she does not get excited easily even if you put in a lot of effort and emotion.
Ans: [2]
CAT 2023: Prerequisite to one word substitution MCQs
CAT exam: References to Study (Theory)
CAT exam: References to Practice one word substitution questions
Practice and remain focused, and we'll be back tomorrow with Day 39.
Thank you! All the best!
With a CAT rank of 5419, your percentile is around 95 to 97. This means you may not get into the top IIMs like Ahmedabad, Bangalore, or Calcutta, because they usually take students above 98 or 99 percentile. But you still have good chances at newer IIMs and other top MBA colleges.
You can get admission into IIMs like Amritsar, Raipur, Jammu, Udaipur, and Bodh Gaya. These IIMs accept students with lower percentiles, usually between 90 and 94.
Apart from IIMs, you can also get colleges like MDI Gurugram, IMI Delhi, Great Lakes Chennai, and maybe even FMS Delhi or JBIMS Mumbai depending on your category and performance in interview rounds.
You should now start preparing for the interview, group discussions, and written tests that most colleges will conduct after shortlisting you based on your CAT rank.
Here are websites you can check for cut-off and admission details:
https://www.imsindia.com/blog/cat-cutoff/
Hello Sahitya
For FMS Delhi, your percentile should be 99%+ and it should be 99.5%+ to be on the safer side.
Now coming to the academics:
1. 10th marks: 75%+ are given 10 out of 10
2. 12th marks: 75%+ are given 10 out of 10
3. Graduation marks: FMS doesn't considers graduation marks for screening.
So if you have 75%+ in both 10th and 12th, you will get full marks in academic score.
To know more about FMS: FMS
Hope this answer helps! Thank You!!!
Hello Ayush
This is definitely a myth that with 0 work-ex you can't get IIM ABC because freshers still get into them although the competition is brutal but if you have good academics (9/9/9) and a good CAT (99.5%+), you have a chance.
These are some other good colleges except IIM ABC which you can aim for:
TIER 1:
Tier 2:
To know more about CAT: CAT by Careers360
Hope this answer helps! Thank You!!!
Hello Aspirant,
With an AIR (All India Rank) of 1,60,000 in NEET and in the OC (Open Category) there is a very slim chance of getting an MBBS seat in a government medical college, especially in General Category seats through All India Quota (AIQ), but here are some options:
You can also participate in state counselling rounds, as sometimes, seats remain vacant/unfilled, including mop-up rounds.
Hello aspirant,
The question papers for CAT MGU University can be found on their official website, or you can also visit careers360 website for the same.
The link of which, I am attaching here,
https://university.careers360.com/articles/mgu-cat-2025
Regards
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